Theorems · Definition · logic and foundations
FirstOrder.Language.BoundedFormula.iff
{L : FirstOrder.Language} → {α : Type u'} → {n : ℕ} → L.BoundedFormula α n → L.BoundedFormula α n → L.BoundedFormula α nThe biimplication between two bounded formulas.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.BoundedFormulastatement and proof · cited by 207
Cited by4
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Theory.Iffproof · cited by 32
- FirstOrder.Language.BoundedFormula.realize_iffstatement · cited by 7
- FirstOrder.Language.Formula.iffproof · cited by 2
- FirstOrder.Language.Theory.Iff.transproof · cited by 0